Do people feel hungrier after sampling a healthy food? The authors of a consumer research paper carried out a study to answer this question. They randomly assigned volunteers into one of three groups. The people in the first group were asked to taste a snack that was billed as a new health bar containing high levels of protein, vitamins, and fiber. The people in the second group were asked to taste the same snack but were told it was a tasty chocolate bar with a raspberry center. After tasting the snack, participants were asked to rate their hunger level on a scale from 1 (not at all hungry) to 7 (very hungry). The people in the third group were asked to rate their hunger but were not given a snack. The data in the table are consistent with summary quantities given in the paper (although the sample sizes in the actual study were larger). Find the test statistic and P-value. (Use technology. Round your test statistic to two decimal places and your P-value to three decimal places.) F= P-value= Treatment Group Hunger Rating Sample Mean Sample Standard Deviation Healthy 4 8 7 4 6 3 4 7 6 5.4 1.74 Tasty 4 1 4 2 6 2 5 3 4 3.4 1.59 No Snack 3 4 5 6 5 5 2 4 4 4.2 1.20 Overall mean = 4.4
Do people feel hungrier after sampling a healthy food? The authors of a consumer research paper carried out a study to answer this question. They randomly assigned volunteers into one of three groups. The people in the first group were asked to taste a snack that was billed as a new health bar containing high levels of protein, vitamins, and fiber. The people in the second group were asked to taste the same snack but were told it was a tasty chocolate bar with a raspberry center. After tasting the snack, participants were asked to rate their hunger level on a scale from 1 (not at all hungry) to 7 (very hungry). The people in the third group were asked to rate their hunger but were not given a snack. The data in the table are consistent with summary quantities given in the paper (although the sample sizes in the actual study were larger). Find the test statistic and P-value. (Use technology. Round your test statistic to two decimal places and your P-value to three decimal places.) F= P-value= Treatment Group Hunger Rating Sample Mean Sample Standard Deviation Healthy 4 8 7 4 6 3 4 7 6 5.4 1.74 Tasty 4 1 4 2 6 2 5 3 4 3.4 1.59 No Snack 3 4 5 6 5 5 2 4 4 4.2 1.20 Overall mean = 4.4
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 13PT
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16.1 #5
Do people feel hungrier after sampling a healthy food? The authors of a consumer research paper carried out a study to answer this question. They randomly assigned volunteers into one of three groups. The people in the first group were asked to taste a snack that was billed as a new health bar containing high levels of protein, vitamins, and fiber. The people in the second group were asked to taste the same snack but were told it was a tasty chocolate bar with a raspberry center. After tasting the snack, participants were asked to rate their hunger level on a scale from 1 (not at all hungry) to 7 (very hungry). The people in the third group were asked to rate their hunger but were not given a snack.
The data in the table are consistent with summary quantities given in the paper (although the sample sizes in the actual study were larger).
Find the test statistic and P-value. (Use technology. Round your test statistic to two decimal places and your P-value to three decimal places.)
F=
P-value=
| Treatment Group |
Hunger Rating | Sample Mean |
Sample Standard Deviation |
||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Healthy | 4 | 8 | 7 | 4 | 6 | 3 | 4 | 7 | 6 | 5.4 | 1.74 |
| Tasty | 4 | 1 | 4 | 2 | 6 | 2 | 5 | 3 | 4 | 3.4 | 1.59 |
| No Snack | 3 | 4 | 5 | 6 | 5 | 5 | 2 | 4 | 4 | 4.2 | 1.20 |
|
Overall mean = 4.4 |
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